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máy tính xin hân hạnh đồng hành cùng với lê Kiều Trinh
\(a,1,\left(27\right)=1+\frac{27}{99}=1+\frac{3}{11}=\frac{14}{11}\)
\(0,\left(423\right)=\frac{423}{999}=\frac{47}{111}\)
\(2,\left(15\right)=2+\frac{15}{99}=2+\frac{5}{33}=\frac{71}{33}\)
\(b,3,04\left(31\right)=3+\frac{431-4}{9990}=3+\frac{427}{9990}=\frac{3397}{9990}\)
\(1,8\left(34\right)=1+\frac{834-8}{990}=1+\frac{413}{495}=\frac{908}{495}\)
Bài 1:
\(0,0\left(8\right)=\frac{1}{10}\cdot0,\left(8\right)=\frac{1}{10}\cdot0,\left(1\right)\cdot8=\frac{4}{5}\cdot\frac{1}{9}=\frac{4}{45}\)
\(0,1\left(2\right)=0,1+0,0\left(2\right)=\frac{1}{10}+\frac{1}{10}\cdot0,\left(2\right)=\frac{1}{10}+\frac{1}{10}\cdot0,\left(1\right)\cdot2=\frac{1}{10}+\frac{1}{5}\cdot\frac{1}{9}=\frac{1}{10}+\frac{1}{45}=\frac{11}{90}\)
\(0,1\left(23\right)=0,1+0,\left(23\right)=\frac{1}{10}+0,\left(01\right)\cdot23=\frac{1}{10}+\frac{1}{99}\cdot23=\frac{1}{10}+\frac{23}{99}=\frac{329}{990}\)
0,(1) =\(\frac{1}{9}\); 0,0(33) = 0,(01).33 : 10 =\(\frac{33}{99}:10=\frac{1}{30}\);
8,2(7) = 82,(7) : 10 =\(\frac{82+0,\left(1\right).7}{10}=\frac{82+\frac{7}{9}}{10}=\frac{745}{9}:10=\frac{149}{18}\)
1,00(001) = 100,(001) : 100 =\(\frac{100+\frac{1}{999}}{10}=\frac{99901}{999}:10=\frac{99901}{9990}\)
1) b) \(0,555..=0,\left(5\right)=\frac{5}{9}\)
a) 0,555=\(\frac{555}{1000}=\frac{111}{200}\)
c) \(0,25454..=0,2\left(54\right)=\frac{14}{55}\)
2) a) \(1,\left(6\right).2,\left(3\right):0,\left(7\right)=\frac{5}{3}.\frac{7}{3}:\frac{7}{9}=\frac{35}{9}:\frac{7}{9}=5\)
b) \(0,\left(37\right)+0,\left(62\right)=\frac{37}{99}+\frac{62}{99}=1\)
c) \(0,\left(33\right).3=\frac{1}{3}.3=1\)
\(a\text{)}1,\left(7\right)=1+0,\left(7\right)=1+\frac{7}{9}=\frac{16}{9}\)
\(b\text{)}0,\left(45\right)=\frac{45}{99}\)
\(c\text{)}0,0\left(31\right)=0,\left(31\right):10=\frac{31}{99}:10=\frac{31}{990}\)
\(d\text{)}1,8\left(33\right)=1,8+0,0\left(33\right)=1,8+0,\left(33\right):10=1,8+\frac{33}{990}=\frac{54}{30}+\frac{1}{30}=\frac{55}{30}\)
Bn ghi sai đề thì phải làm gì có ngoặc